Question 2 (a) The boxplot below shows the ages in years of a sample of marathon runners. ! 15 20 25 30 35 40 45 50 55 6

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Question 2 A The Boxplot Below Shows The Ages In Years Of A Sample Of Marathon Runners 15 20 25 30 35 40 45 50 55 6 1 (146.63 KiB) Viewed 43 times

Question 2 (a) The boxplot below shows the ages in years of a sample of marathon runners. ! 15 20 25 30 35 40 45 50 55 60 65 70 75 80 AGE IN YEARS (i) Describe the distribution of the ages of the marathon runners in terms of its skewness. Explain if the marathon runner who has an age of 75 years is a potential outlier or not. (2 marks) (8 marks) (ii) (b) The table below summarizes the smoking status and respiratory disease status of a sample of 100 adults. No. of adults Smoker (S) Non-smoker (5) Respiratory Disease (D) No Respiratory Disease (D) 30 + R 20 10 40 - R Let S be the event that a randomly selected adult from the sample is a smoker and D be the event that the selected adult has respiratory disease. (i) Find the probability that a randomly selected adult from the sample is a smoker with repiratory disease. Correct your answer to 2 decimal places. (4 marks) (ii) (4 marks) Find the probability of P(S or D). Correct your answer to 2 decimal places. (iii) Determine if event S and event D are mutually exclusive. (Explanation not needed) (iv) Determine if event S and event D are complementary. (Explanation not needed) (1 mark) (1 mark) 20 marks